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Finding the Fourth Proportional to 55,963.40, 83,847.90 and 47,215.40

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Solution

The fourth proportional to 55,963.40, 83,847.90 and 47,215.40 is: 70,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,963.40 : 83,847.90 = 47,215.40 : x
  2. Step 2: Convert to fraction form
    55,963.40/83,847.90 = 47,215.40/x
  3. Step 3: Cross multiply
    55,963.40x = 83,847.90 × 47,215.40
  4. Step 4: Simplify right side
    55,963.40x = 3,958,912,137.66
  5. Step 5: Solve for x
    x = 3,958,912,137.66/55,963.40
  6. Step 6: Final answer
    x = 70,741.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.